Discrete Time Optimal Harvesting of Fish Populations with Age Structure
We consider an optimal fishery harvesting problem using an age-structured population model with nonlinear recruitment. The motivating example is Atlantic Cod. The goal is to maximize the profit (total gain) of fishing. We seek to find the optimal harvesting strategy for each age class, but also to f...
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ftdoajarticles:oai:doaj.org/article:1f178d2a3e7d46ffa372539b1da25b52 2023-05-15T15:27:19+02:00 Discrete Time Optimal Harvesting of Fish Populations with Age Structure Wandi Dine Suzanne Lenhart Horst Behncke 2014-01-01T00:00:00Z https://doi.org/10.1080/23737867.2014.11414480 https://doaj.org/article/1f178d2a3e7d46ffa372539b1da25b52 EN eng Intercollegiate Biomathematics Alliance http://dx.doi.org/10.1080/23737867.2014.11414480 https://doaj.org/toc/2373-7867 2373-7867 doi:10.1080/23737867.2014.11414480 https://doaj.org/article/1f178d2a3e7d46ffa372539b1da25b52 Letters in Biomathematics, Vol 1, Iss 2, Pp 193-207 (2014) optimal harvesting discrete model age structure Biology (General) QH301-705.5 Mathematics QA1-939 article 2014 ftdoajarticles https://doi.org/10.1080/23737867.2014.11414480 2022-12-30T23:29:33Z We consider an optimal fishery harvesting problem using an age-structured population model with nonlinear recruitment. The motivating example is Atlantic Cod. The goal is to maximize the profit (total gain) of fishing. We seek to find the optimal harvesting strategy for each age class, but also to find the optimal net size. Using the extension of Pontryagin’s Maximum Principle to discrete systems, we are able to derive the necessary conditions and the characterizations for the optimal harvesting strategies. Numerical simulations for both Beverton-Holt and Ricker recruitment functions are provided. Article in Journal/Newspaper atlantic cod Directory of Open Access Journals: DOAJ Articles Letters in Biomathematics 1 2 193 207 |
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Directory of Open Access Journals: DOAJ Articles |
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ftdoajarticles |
language |
English |
topic |
optimal harvesting discrete model age structure Biology (General) QH301-705.5 Mathematics QA1-939 |
spellingShingle |
optimal harvesting discrete model age structure Biology (General) QH301-705.5 Mathematics QA1-939 Wandi Dine Suzanne Lenhart Horst Behncke Discrete Time Optimal Harvesting of Fish Populations with Age Structure |
topic_facet |
optimal harvesting discrete model age structure Biology (General) QH301-705.5 Mathematics QA1-939 |
description |
We consider an optimal fishery harvesting problem using an age-structured population model with nonlinear recruitment. The motivating example is Atlantic Cod. The goal is to maximize the profit (total gain) of fishing. We seek to find the optimal harvesting strategy for each age class, but also to find the optimal net size. Using the extension of Pontryagin’s Maximum Principle to discrete systems, we are able to derive the necessary conditions and the characterizations for the optimal harvesting strategies. Numerical simulations for both Beverton-Holt and Ricker recruitment functions are provided. |
format |
Article in Journal/Newspaper |
author |
Wandi Dine Suzanne Lenhart Horst Behncke |
author_facet |
Wandi Dine Suzanne Lenhart Horst Behncke |
author_sort |
Wandi Dine |
title |
Discrete Time Optimal Harvesting of Fish Populations with Age Structure |
title_short |
Discrete Time Optimal Harvesting of Fish Populations with Age Structure |
title_full |
Discrete Time Optimal Harvesting of Fish Populations with Age Structure |
title_fullStr |
Discrete Time Optimal Harvesting of Fish Populations with Age Structure |
title_full_unstemmed |
Discrete Time Optimal Harvesting of Fish Populations with Age Structure |
title_sort |
discrete time optimal harvesting of fish populations with age structure |
publisher |
Intercollegiate Biomathematics Alliance |
publishDate |
2014 |
url |
https://doi.org/10.1080/23737867.2014.11414480 https://doaj.org/article/1f178d2a3e7d46ffa372539b1da25b52 |
genre |
atlantic cod |
genre_facet |
atlantic cod |
op_source |
Letters in Biomathematics, Vol 1, Iss 2, Pp 193-207 (2014) |
op_relation |
http://dx.doi.org/10.1080/23737867.2014.11414480 https://doaj.org/toc/2373-7867 2373-7867 doi:10.1080/23737867.2014.11414480 https://doaj.org/article/1f178d2a3e7d46ffa372539b1da25b52 |
op_doi |
https://doi.org/10.1080/23737867.2014.11414480 |
container_title |
Letters in Biomathematics |
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1 |
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2 |
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193 |
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207 |
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1766357769263251456 |